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Finding the Fourth Proportional to 17,771.16, 24,507.65 and 11,797.01

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Solution

The fourth proportional to 17,771.16, 24,507.65 and 11,797.01 is: 16,268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,771.16 : 24,507.65 = 11,797.01 : x
  2. Step 2: Convert to fraction form
    17,771.16/24,507.65 = 11,797.01/x
  3. Step 3: Cross multiply
    17,771.16x = 24,507.65 × 11,797.01
  4. Step 4: Simplify right side
    17,771.16x = 289,116,899.08
  5. Step 5: Solve for x
    x = 289,116,899.08/17,771.16
  6. Step 6: Final answer
    x = 16,268.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.